EDIT:
I found that doxygen can generate call graphs for classes, but I could not find any options or examples where the call(er) graph is generated for public/private members of the class(es) such as fields, methods, etc.? See the example that I provided below.
Is it possible to find links/relationships between 2 variables/objects in the code using some IDE tools and code editors, i.e. in Visual Studio, Sublime, etc.
e.g.
a=func(b,c);
w=func(a,c);
Here w and b are indirectly related to each other.
In convoluted code it is very difficult to manually find such relationships.
I understand that reflection and dynamic nature of some languages can limit such analysis.
You need to provide the language you are looking to use. If I take a guess and say C/C++ you can use CCTree and Cscope in general for this functionality. Most open source developers use Cscope extensively for this purpose.
Eclipse CDT also has call graph's. It is a bit of a pain to work outside of VisualStudio for this purpose I know. But cost is part of the reason to use open source instead.
Your best bet to cover all languages for the purpose of browsing is Exuberant Ctags. This works with a fair amount of editors and all the languages you listed. With that large a list of languages and use cases its probably worth your time to learn either vim or emacs and the integrations supported here.
For Python you can also take a look at pyscope with cscope. Another excellent alternative for Python is Rope. Rope supports finding definitions and usages as part of its standard set of tools.
Most developers do not need CCTree as browsing code bases with cscope is relatively straightforward. I have used exuberant ctags + emacs on a huge variety of language for years. It takes a touch of time to learn, but the upsides are it's free, portable, and powerful. Another alternative to CCTree is codegraph for some of your target languages.